A set of n elements has 2ⁿ subsets. One of these subsets is the set itself, so this set would have 2ⁿ - 1 proper subsets.
The given set has 4 elements, so it has 2⁴ = 16 subsets and 2⁴ - 1 = 15 proper subsets.
Just to illustrate the claim, we have
• subsets of size 0 (1 of these):
{ } (empty set)
• subsets of size 1 (4 of these):
{1/6}, {1/7}, {1/8}, {1/9}
• subsets of size 2 (6 of these):
{1/6, 1/7}, {1/6, 1/8}, {1/6, 1/9}, {1/7, 1/8}, {1/7, 1/9}, {1/8, 1/9}
• subsets of size 3 (4 of these):
{1/6, 1/7, 1/8}, {1/6, 1/7, 1/9}, {1/6, 1/8, 1/9}, {1/7, 1/8, 1/9}
• subsets of size 4 (1 of these):
{1/6, 1/7, 1/8, 1/9}
and the last one is the only subset that is not a proper subset, because that subset = the set.
The number of subsets are 16 and number of proper subsets for the set are 15. So, correct option is A.
The set {1/6, 1/7, 1/8, 1/9} has 4 elements.
To calculate the number of subsets, including both the proper and improper subsets, you can use the formula 2ⁿ, where n is the number of elements in the set.
So, for this set, there are 2⁴ = 16 subsets.
To calculate the number of proper subsets, you subtract 1 from the total number of subsets (to exclude the empty set).
So, the number of proper subsets is 16 - 1 = 15.
Hence, option A is correct, the number of subsets are 16 and number of proper subsets for the set are 15.
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Translate the triangle.
Then enter the new coordinates.
Answer:
see explanation
Step-by-step explanation:
the translation < 3, 2 >
means add 3 to the original x- coordinate and add 2 to the original y- coordinate, then
A (3, 0 ) → A' (3 + 3, 0 + 2 ) → A' (6, 2 )
B (4, - 2 ) → B' (4 + 3, - 2 + 2 ) → B' (7, 0 )
C (1, - 3 ) → C' (1 + 3, - 3 + 2 ) → C' (4, - 1 )
determine the mass of a sample of silver if 705 j of heat are required to raise its temperature from 25 c to 35 c. The specific heat of silver is 0.235 j/g c
Answer:
300g
Explanation:
heat added=specific heat * m * change in temp
705= .235* x*(35-25)
solve for x, thus the answer being 300g
I need help plss, whoever answers me, I’ll give brainliest.
Answer:
12.
Step-by-step explanation:
36 = 3 * 12
48 = 4 * 12,
Find the area of the composite figure. First, find the area of the triangle.
Please help
Answer:
triangle: 28cm² | parallelogram: 88cm² | composite: 116cm²
Step-by-step explanation:
Find area of triangle (1/2)(base)(height)
(1/2)(8)(7)
(4)(7)
28cm²
Find area of parallelogram (base)(height)
(8)(11)
88cm²
Add them together to get the composite area
28 + 88 = 116cm²
Can i get some help, please
Answer:
65 degrees
Step-by-step explanation:
The degrees always has to add up to 180 degrees, so if you add 90 degrees and 25 degrees, you get 115 degrees. So since it has to be 180 degrees, you add 65 to 115, and you get 180 degrees.
Answer: 65 degrees . HOPE IT HELPS .
Please help me math
Answer:
5.66
Step-by-step explanation:
→ State Pythagoras' theorem
a² + b² = c²
→ Substitute in the values
4² + 4² = c²
→ Simplify
32 = c²
→ Square root both sides
√32 = c
Answer:
Step-by-step explanation:
4^2 + 4^2 = c^2
16 + 16 = c^2
32 = c^2
c= √32
c= 5.66
please help due in 13 mins.
Answer:
Graph A
Step-by-step explanation:
Becuase if we rewrite it in slope-intercept form then we get y=3/4x-13/2
Using complete sentences, explain which function has the greatest y-intercept.
Answer:
Step-by-step explanation:
this is correct trust me im learning this and passing the concept h(x)=2+3
and f(x)=3x-2
Here is a tip use desmos it is a graphing calculater and will tell you the answer
Which of the following are square roots of the number below? Check all that
apply.
400
A. -20
B. -4001/2
C. 40
D. 4001/2
E. 10
F. 20
74°
32°
to
Find the value of x
Answer: give the proper question
Step-by-step explanation: for solutions
Solve this question for points
The line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times, 26 repeated 1 time, and 27 3/4 repeated 1 time so on.
What is a line graph?A line graph is a graph made up of segments of straight lines that connect the depicted data points.
Draw dots on each of the data element in the data set:
25 repeated 1 time
25 1/2 repeated 2 times
26 repeated 1 time
27 3/4 repeated 1 time
28 1/2 repeated two times
And so on.
Thus, the line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times, 26 repeated 1 time, and 27 3/4 repeated 1 time so on.
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Find the degree of the monomial.4.5
8a b5
Answer: 17a
Step-by-step explanation: additon
Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1800 bacteria selected from this population reached the size of 2016 bacteria in two and a half hours. Find the hourly growth rate parameter.
so
number = a e^(kt)
2272 = 1800 e^(5k)
1.26222... = e^5k
ln 1.26222... = 5k
k = .04657.. <----- your hourly growth parameter
the instantaneous rate of growth is appr 4.657% per hour.
Geometry
PLS NEED HELP
Answer: B
All of the other options do not apply,
An electrician uses 46 3/4 feet of push-back wire from a 200-foot roll. How many feet of wire are left on the roll?
Answer:
153 1/4 feet
Step-by-step explanation:
Remaining
200 - 46 3/4153 1/4 feetSamantha has a solid with a certain density. She knows the mass of the solid is 170 grams and the volume of the object is 20 cubic centimeters. When she calculates the density of the solid, what units should Samantha use?
Answer:
Step-by-step explanation:
Comment
The formula for density is D = m/V
the units of mass are gramsThe units of volume is cm^3Therefore the units of density is
Density = grams/cm^3
Evaluate x + y when x = -19/12 and y = -7/5
Hey there!
x + y
= -19/12 + (-7/5)
= -19/12 - 7/5
= -95/60 + -84/60
= -95/60 - 84/60
= -95 + (-84) / 60 - 0
= -95 - 84 / 60
= -179 / 60
Therefore, the answer should be:
-179 / 60
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
x+y= -2 59/60
Step-by-step explanation:
=-19/12-7/5 = -95-84
60
=-179
60
= -2/59/60
find the perimeter of a triangle with vertices A(-3,5), B(-3,2), and C(1,2)
What is the answer to 8+9
Find the product of smallest natural number and the smallest whole number , 보라해
Answer:
smallest whole number is 0 so product of 0 is 0
smallest natural number is 1 so product of 1 is 1
Find the domain and range of the relation graphed below.
Answer:
Domain: -4 < x < 2
Range: -3 < y < 3
EASY POINTS
Which of the following sets represents the range of the diagram below?
Answer:
D)
Step-by-step explanation:
This is a subjective function and range and co-domain are equal.
Range = {3 , 5 , 7}
need help ASAp pleaseeeeeeeeeeeeeeeee
For which values of x is the limit positive infinity when x
approaches the values from the left?
Answer:
The Answers are: 1) -3pi/2 & 4) pi/2
Step-by-step explanation:
I got it right!
A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $275 each, and the desktop computers cost $175 each. How much would it cost to buy 10 notebooks and 16 desktop computers? How much would it cost to buy nn notebooks and dd desktop computers?
Write the equation for total cost, nn notebooks and dd desktop computers:
The cost to buy 10 notebooks and 16 desktop computers is $5550
Cost of notebook computers = $275
Cost of desktop computers = $175 each
The cost to buy 10 notebooks and 16 desktop computers will be:
= 275(10) + 175(16)
= 2750 + 2800
= $5550
The cost to buy n notebooks and d desktop computers will be:
= 275(n) + 175(d)
= 275n + 175d
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Complete Syd’s work to find the scale factor Scale factor = StartFraction scale drawing dimension over Original dimension EndFraction = StartFraction 7.5 over 3 EndFraction What is the scale factor? 2.5 3 4.5 7.5
Answer:
2.5
Step-by-step explanation:
The heights, in inches, of five people on a basketball team at listed below 65, 58, 64, 61, 67 explains the meaning of the meaning absolute deviation in context of the situation
Using it's concept, it is found that the mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.
What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.In this problem, the mean is given by:
M = (65 + 58 + 64 + 61 + 67)/5 = 63.
Hence the mean absolute deviation is given by:
MAD = (|65-63| + |58-63| + |64-63| + |61-63| + |67-63|)/5 = 14/5 = 2.8.
The mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.
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the quotient of two numbers is 3 and their sum is 8 what are he two numbers
To change words into equations, we can recognize keywords that translate into operations and/or numbers:
quotient = dividea number/the number/two numbers = variables sum = addSolving the QuestionLet the two numbers be a and b.
We're given:
quotient of a and b is 3First, isolate a in the first equation and substitute it in the second equation to solve for b:
[tex]\dfrac{a}{b}=3\\\\a=3b[/tex]
[tex]a+b=8\\3b+b=8\\4b=8\\b=2[/tex]
Therefore, one of the numbers is 2. Substitute this into one of our equations to solve for a:
[tex]a+b=8\\a+2=8\\a=6[/tex]
Therefore, the other number is 6.
AnswerThe two numbers are 2 and 6.
It takes $5 in gas to drive 26 miles. How much does each miles cost?
Answer:
$5.20
Step-by-step explanation:
divide 5 dollars by 26 miles.
26 miles÷ $5 = $5.20
At the Natural History Museum, tickets cost $12 for adults and $4 for kids under 12. What would be the total cost for 3 adult tickets and 8 kids tickets? What would be the total cost for aa adult tickets and kk kids tickets?
Total cost, 3 adult tickets and 8 kids tickets:
Total cost, aa adult tickets and kk kids tickets:
Answer:
68
Step-by-step explanation:
if tickets cost $12 for adults and there are 3 adult tickets being bought the total cost for adult tickets will be $36
Now for the kids, the tickets cost $4 and there are 8 kids, so the total cost for the kids tickets is $32
so the total price for 3 adult tickets and 8 kids tickets is $68
------
sorry if I didn't answer right I cant tell if the last part is a typo or a question
Answer:
see below
Step-by-step explanation:
ok so there are 8 children and $4 so 4x8=32 and 3 adults for $12 so 3x12=36
36 + 32
3+3=6
6+2=8
36+32= 68